The Length of a Direct Sum of Nonassociative Algebras
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DOI: 10.1007/s10958-020-04929-4
Abstract: A lower and an upper bounds for the length of a direct sum of nonassociative algebras are obtained, and their sharpness is established. Note that while the lower bound for the length of a direct… read more here.
Keywords: direct sum; sum nonassociative; length direct; nonassociative algebras ... See more keywords
The nilpotent multipliers of the direct sum of Lie algebras
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DOI: 10.1016/j.jalgebra.2017.11.012
Abstract: Abstract In this article, we present an explicit formula for the nilpotent multipliers of the direct sum of Lie algebras whose abelianisations are finite dimensional and, under some conditions, extend it for arbitrary Lie algebras.… read more here.
Keywords: nilpotent multipliers; lie; lie algebras; direct sum ... See more keywords
On Li–Yorke and distributionally chaotic direct sum operators
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DOI: 10.1016/j.topol.2018.02.012
Abstract: Abstract In this paper, sufficient conditions for the direct sum of countable linear operators on Banach spaces to be Li–Yorke chaotic (distributionally chaotic) are presented. These conditions enable us to construct a densely distributionally chaotic… read more here.
Keywords: chaotic direct; direct sum; distributionally chaotic; sum operators ... See more keywords
When is every module with essential socle a direct sum of automorphism-invariant modules?
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DOI: 10.1142/s0219498820501856
Abstract: The purpose of this paper is to study the structure of rings over which every essential extension of a direct sum of a family of simple modules is a direct sum of automorphism-invariant modules. We… read more here.
Keywords: direct sum; sum automorphism; invariant modules; automorphism invariant ... See more keywords